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Fluids

Question regarding flow rate of water through a porous zone

    • Keyur Kanade
      Ansys Employee

      Hello Fluids Experts, ?

      I am required to estimate the flow rate of water through a porous zone. I know the expected pressure drop and the permeability of the zone. Is it possible to get a theoretical estimate of the flow rate based on these variables?

      Thank you in advance for your help

    • Karthik R
      Administrator

      Hi @kkanade ?,

      Darcy's law provides a relationship for estimating the instantaneous flow rate through a homogeneous porous media of permeability K with a known pressure drop across its thickness.

      Mathematically,

      Q = K * A * del_P / (mu * L)

      Where,

      Q - flow rate [m^3/s]

      K - permeability [m^2]

      A - cross-sectional area [m^2]

      del_P - pressure drop [Pa]

      mu - dynamic viscosity [Pa-s]

      L - length across the porous media (thickness) [m]

      Hope this helps.


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